Sequential Association Rules in Atonal Music
- Aline Honingh,
- Tillman Weyde,
- Darrell Conklin
- … show all 3 hide
Abstract
This paper describes a preliminary study on the structure of atonal music. In the same way as sequential association rules of chords can be found in tonal music, sequential association rules of pitch class set categories can be found in atonal music. It has been noted before that certain pitch class sets can be grouped into 6 different categories . In this paper we calculate those categories in a different way and show that virtually all possible pitch class sets can be grouped into these categories. Each piece in a corpus of atonal music was segmented at the bar level and of each segment it was calculated to which category it belongs. The percentages of occurrence of the different categories in the corpus were tabulated, and it turns out that these statistics may be useful for distinguishing tonal from atonal music. Furthermore, sequential association rules were sought within the sequence of categories. The category transition matrix shows how many times it happens that one specific category is followed by another. The statistical significance of each progression can be calculated, and we present the significant progressions as sequential association rules for atonal music.
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- Title
- Sequential Association Rules in Atonal Music
- Book Title
- Mathematics and Computation in Music
- Book Subtitle
- Second International Conference, MCM 2009, John Clough Memorial Conference New Haven, CT, USA, June 19-22, 2009. Proceedings
- Pages
- pp 130-138
- Copyright
- 2009
- DOI
- 10.1007/978-3-642-02394-1_12
- Print ISBN
- 978-3-642-02393-4
- Online ISBN
- 978-3-642-02394-1
- Series Title
- Communications in Computer and Information Science
- Series Volume
- 38
- Series ISSN
- 1865-0929
- Publisher
- Springer Berlin Heidelberg
- Copyright Holder
- Springer Berlin Heidelberg
- Additional Links
- Topics
- Keywords
-
- pitch class set categories
- atonal music
- sequential association rules
- similarity measures
- Industry Sectors
- eBook Packages
- Editors
-
-
Elaine Chew
(1)
-
Adrian Childs
(2)
-
Ching-Hua Chuan
(3)
-
Elaine Chew
- Editor Affiliations
-
- 1. Viterbi School of Engineering, Integrated Media Systems Center, Epstein Department of Industrial and Systems Engineering, University of Southern California
- 2. Hugh Hodgson School of Music, University of Georgia
- 3. Department of Math and Computer Science, Barry University
- Authors
-
- Aline Honingh (4)
- Tillman Weyde (4)
- Darrell Conklin (4)
- Author Affiliations
-
- 4. Music Informatics research group Department of Computing, City University London,
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